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Finding the Fourth Proportional to 958.71, 1,323.51 and 820.32

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Solution

The fourth proportional to 958.71, 1,323.51 and 820.32 is: 1,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.71 : 1,323.51 = 820.32 : x
  2. Step 2: Convert to fraction form
    958.71/1,323.51 = 820.32/x
  3. Step 3: Cross multiply
    958.71x = 1,323.51 × 820.32
  4. Step 4: Simplify right side
    958.71x = 1,085,701.72
  5. Step 5: Solve for x
    x = 1,085,701.72/958.71
  6. Step 6: Final answer
    x = 1,132.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.